Divergence of Teichmueller Geodesics

We study the asymptotic geometry of Teichmueller geodesic rays. We show that when the transverse measures to the vertical foliations of the quadratic differentials determining two different rays are topologically equivalent, but are not absolutely continuous with respect to each other, then the rays...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2010-11
Main Authors: Lenzhen, Anna, Masur, Howard
Format: Article
Language:English
Subjects:
Differential geometry
Geodesy
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the asymptotic geometry of Teichmueller geodesic rays. We show that when the transverse measures to the vertical foliations of the quadratic differentials determining two different rays are topologically equivalent, but are not absolutely continuous with respect to each other, then the rays diverge in Teichmueller space.
ISSN:2331-8422